4293792 has 72 divisors (see below), whose sum is σ = 12943476. Its totient is φ = 1345536.

The previous prime is 4293781. The next prime is 4293799. The reversal of 4293792 is 2973924.

It can be written as a sum of positive squares in 2 ways, for example, as 3825936 + 467856 = 1956^2 + 684^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4293799) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4458 + ... + 5334.

Almost surely, 2^4293792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4293792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6471738).

4293792 is an abundant number, since it is smaller than the sum of its proper divisors (8649684).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4293792 is a wasteful number, since it uses less digits than its factorization.

4293792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 899 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 4293792 is about 2072.1467129525. The cubic root of 4293792 is about 162.5350393868.

The spelling of 4293792 in words is "four million, two hundred ninety-three thousand, seven hundred ninety-two".